Derive an expression for electric energy consumed in a device in terms

1.	Derive an expression for electric energy consumed in a device in terms of V,I and t, where V is the potential difference applied to it, I is the current drawn by it and t is the time for which current flows ?
Answer» We know that work done = W = QV P =W/t Now, P =QV/t V = IR P =Q/tIR =I²R Energy = P × t = I²R × t =V²/R²Rt=V²/R t Energy = V²/R Where V = voltage, R = resistance, t = time

Derive an expression for electric energy consumed in a device in terms of V,I and t, where V is the potential difference applied to it, I is the current drawn by it and t is the time for which current flows ?

Answer»

We know that work done = W = QV

P =W/t
Now, P =QV/t
V = IR
P =Q/t*IR =I²R
Energy = P × t
= I²R × t
=V²/R²*R*t=V²/R *t

Energy = V²/R
Where V = voltage, R = resistance, t = time

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Derive an expression for electric energy consumed in a device in terms of V,I and t, where V is the potential difference applied to it, I is the current drawn by it and t is the time for which current flows ?

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